95 Corolla A/C Problem

When I turn on my A/C my car starts to shake and feels like it wants to die only when I am at a stop. When the car is moving everything seems to be fine. I was thinking that it might be the alternator not putting out enough power. Is there anyway to check an alternator if it is even that? What do you guys think?

Thank You

Sounds like your A/C idle up might be faulty. The idle up increases the engine rpm 200-300 rpm to compensate for the extra load from the compressor. Pick up a haynes manual and it will show you where it is located (and how to change it)